To determine if the point (5, -3) is a solution to the system of equations, we can substitute the values of x and y into each equation and see if the equations hold true.
For the equation y = -1/2x + 6:
Substituting x = 5 and y = -3:
-3 = -1/2(5) + 6
-3 = -5/2 + 6
-3 = -5/2 + 12/2
-3 = 7/2
Since -3 is not equal to 7/2, (5, -3) is not a solution to the equation y = -1/2x + 6.
Now, let's check if the point (5, -3) is a solution to the equation y = 3x - 1:
Substituting x = 5 and y = -3:
-3 = 3(5) - 1
-3 = 15 - 1
-3 = 14
Since -3 is not equal to 14, (5, -3) is not a solution to the equation y = 3x - 1.
Therefore, the point (5, -3) is not a solution to the system of equations.
Is the point (5, -3) a solution to this system of equations?
y = -1/2x + 6
y = 3x - 1
1 answer
2 answers